Pearce, Paul ARittenberg, Vladimirde Gier, JNienhuis, B2015-12-132015-12-130305-4470http://hdl.handle.net/1885/71979We discuss one-dimensional stochastic processes defined through the Temperley-Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating the probability distribution which describes the stationary state, to the enumeration of a symmetry class of alternating sign matrices, objects that have received much attention in combinatorics.200210.1088/0305-4470/35/45/1052015-12-11